I have had a look at the 1841 & 1851 Census - and THINK this is the family.
Mary Ann Nelson nee Ogden is on the 1841 Census with her husband John Nelson and their daughter Mary age 9.
The nearest marriage of her father John Ogden to an Elizabeth is -
Name: John Ogden
Spouse: Elizabeth Ragley
Marriage: 27 Jan 1812 - Manchester, St Mary, St Denys and St George
I have found some baptisms that bridge the gap from 1812 - 1818 when Mary Ann Ogden was baptised.
James Ogden 2 May 1813
Richard Ogden 25 June 1815
Joseph Ogden 25 May 1817
Mary Ann Ogden 3 May 1818
and the rest of the children in the 1841 Census. (ages rounded in the 1841 Census)
Sarah Hogden 20 abt 1821
Hannah Hogden 20 ab 1821
Mary Hogden 15 abt 1826
Ellen Hogden 15 abt 1826
Joseph Hogden 12 abt1829
Dinah Hogden 10 abt 1831
Earnest Hogden 10 abt 1831
William Hogden 8 abt 1833
James Hogden 6 abt 1835
John Hogden 4 abt 1837
Elizabeth Hogden 4 Mo abt 1841
1841 Census
1851 Census
Plus 2 more children - Emma and Henry Ogden.
Dinah Ogden marriage